Search a number
-
+
9226096 = 2411193189
BaseRepresentation
bin100011001100…
…011101110000
3122100201211021
4203030131300
54330213341
6525425224
7141264145
oct43143560
918321737
109226096
115231780
12310b214
131bb0539
1413223cc
15c239d1
hex8cc770

9226096 has 80 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 3801600.

The previous prime is 9226093. The next prime is 9226099. The reversal of 9226096 is 6906229.

It is an interprime number because it is at equal distance from previous prime (9226093) and next prime (9226099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9226093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103620 + ... + 103708.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 29226096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9226096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

9226096 is an abundant number, since it is smaller than the sum of its proper divisors (12201104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9226096 is a wasteful number, since it uses less digits than its factorization.

9226096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 9226096 is about 3037.4489296118. The cubic root of 9226096 is about 209.7358432183.

The spelling of 9226096 in words is "nine million, two hundred twenty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 89 124 152 176 178 209 248 304 341 356 418 496 589 682 712 836 979 1178 1364 1424 1672 1691 1958 2356 2728 2759 3344 3382 3916 4712 5456 5518 6479 6764 7832 9424 11036 12958 13528 15664 18601 22072 25916 27056 30349 37202 44144 51832 52421 60698 74404 103664 104842 121396 148808 209684 242792 297616 419368 485584 576631 838736 1153262 2306524 4613048 9226096